Fa2004 16.3337-4 Numerical results The code gives the numerical values for all of the stability derivatives Can solve for the eigenvalues of the matrix a to find the modes of the system 0.0331±0.9470i -0.5633 -0.0073 Stable, but there is one very slow pole There are 3 modes, but they are a lot more complicated than the longitudinal case ow mo 0.0073 Spiral Mode Fast real 0.5633 Roll Damping Oscillatory-0.0331±0.9470→ Dutch roll Can look at normalized eigenvectors Spiral Roll Dutch Rol B=/00 00067001970.3269-28° p=p/(20/6b)-000907120.1992° 个=7/(20/b)000520004000368-112 1000100010000° Not as enlightening as the longitudinal caseFall 2004 16.333 7–4 Numerical Results • The code gives the numerical values for all of the stability derivatives. Can solve for the eigenvalues of the matrix A to find the modes of the system. −0.0331 ± 0.9470i −0.5633 −0.0073 – Stable, but there is one very slow pole. • There are 3 modes, but they are a lot more complicated than the longitudinal case. Slow mode ­0.0073 ⇒ Spiral Mode Fast real ­0.5633 ⇒ Roll Damping Oscillatory −0.0331 ± 0.9470i ⇒ Dutch Roll Can look at normalized eigenvectors: Spiral Roll Dutch Roll β = w/U0 0.0067 ­0.0197 0.3269 ­28◦ pˆ = p/(2U0/b) ­0.0009 ­0.0712 0.1198 92◦ rˆ = r/(2U0/b) 0.0052 0.0040 0.0368 ­112◦ φ 1.0000 1.0000 1.0000 0◦ Not as enlightening as the longitudinal case